not rational, and approximate them by rational numbers.
8.NS.1. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.8.NS.2. Use rational approximations of irrational numbers to compare
the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
8.EE.1. Know and apply the properties of integer exponents to generate equivalent numerical expressions.
8.EE.2. Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
8.EE.3. Use numbers expressed in the form of a single digit times a whole-number power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 times 108 and the population of the world as 7 times 109, and determine that the world population is more than 20 times larger.
8.EE.4. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
The Number System Common Core Learning Standards Curriculum for Weeks 1-3
Mathematics » Grade 8 » The Number System
Standards in this domain:
8.NS.1 8.NS.2
Know that there are numbers that are
not rational, and approximate them by rational numbers.
8.NS.1. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.8.NS.2. Use rational approximations of irrational numbers to comparethe size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Number Systems
MST3.I.N.07.01 - Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers, rational numbers, irrational numbers)
MST3.I.N.07.02 - Recognize the difference between rational and irrational numbers (e.g., explore different approximations of Pi)
MST3.I.N.07.03 - Place rational and irrational numbers (approximations) on a number line and justify the placement of the numbers
MST3.I.N.07.04 - Develop the laws of exponents for multiplication and division
MST3.I.N.07.05 - Write numbers in scientific notation
MST3.I.N.07.06 - Translate numbers from scientific notation into standard form
MST3.I.N.07.07 - Compare numbers written in scientific notatio
Number Systems
Introduction to IntegersvideoIntroduction: Let's Play Monopoly!
Lesson 1: Adding and Subtracting Integers
Lesson 2: Adding and Subtracting Rational Numbers
Lesson 3: Multiplying Rational Numbers
Lesson 4: Dividing Rational Numbers
Review
***Quizzes****
Mathematics » Grade 8 » Expressions & Equations
Standards in this domain:
8.EE.1 8.EE.2 8.EE.3 8.EE.4 8.EE.5 8.EE.6 8.EE.7 8.EE.8
Vocabulary: exponent,expression, simplify,power,base
Work with radicals and integer exponent
Standards:
Work with radicals and integer exponent.
MST3.I.A.08.01 - Translate verbal sentences into algebraic inequalities
MST3.I.A.08.02 - Write verbal expressions that match given mathematical expressions
MST3.I.A.08.03 - Describe a situation involving relationships that matches a given graph
MST3.I.A.08.04 - Create a graph given a description or an expression for a situation involving a linear or nonlinear relationship
MST3.I.A.08.05 - Use physical models to perform operations with polynomials
MST3.I.A.08.06A - Multiply monomials
MST3.I.A.08.06B - Divide monomials
MST3.I.A.08.07 - Add and subtract polynomials (integer coefficients)
MST3.I.A.08.08 - Multiply a binomial by a monomial or a binomial (integer coefficients)
MST3.I.A.08.09 - Divide a polynomial by a monomial (integer coefficients) Note: The degree of the denominator is less than or equal to the degree of the numerator for all variables.
MST3.I.A.08.10 - Factor algebraic expressions using the GCF
MST3.I.A.08.11 - Factor a trinomial in the form ax squared + bx + c; a=1 and c having no more than three sets of factors
Expressions Lessons: Work with radicals and integer exponent
Introduction: Sports and Math
Lesson 1: Variables and Expressions
Lesson 2: Order of Operations
Lesson 3: Open Sentences
Lesson 4: Identity and Equality Properties
Lesson 5: Distributive Property
Lesson 6: Commutative and Associative Properties
Review
1) http://www.corestandards.org/the-standards/mathematics/grade-8/expressions-and-equations/
2) http://teachers.henrico.k12.va.us/math/hcpsalgebra1/resources.html
3) http://www.jefferson.k12.ky.us/departments/gheens/CurrMaps.html
4) http://www.liverpool.k12.ny.us/academics.cfm?subpage=14113
5) http://www.phschool.com/webcodes10/index.cfm?wcprefix=are&wcsuffix=0775&area=view&x=9&y=7
6) http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=apk&wcsuffix=0099